If two events $A$ and $B$ are such that $P\,(A + B) = \frac{5}{6},$ $P\,(AB) = \frac{1}{3}\,$ and $P\,(\bar A) = \frac{1}{2},$ then the events $A$ and $B$ are

  • A

    Independent

  • B

    Mutually exclusive

  • C

    Mutually exclusive and independent

  • D

    None of these

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